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The paper presents TWET, a Time‑Warping Estimation Trainable model that estimates time‑warping functions from a single observation. It frames the problem as a stationarization task in the wavelet domain and uses a hierarchical dilated convolutional architecture with a differentiable stationarity criterion for end‑to‑end training. Experiments demonstrate that TWET achieves higher deformation reconstruction accuracy and faster computation than existing methods, enabling low‑latency applications.
The paper introduces FastCDTW, an efficient approximation for Continuous Dynamic Time Warping (CDTW). It offers two computational strategies: an exact closed‑form solution for piecewise‑linear warping functions and an unbiased Monte Carlo estimator for smooth warping functions such as those implemented by implicit neural networks. Both approaches provide gradients with respect to the warping function and the input time series, making the algorithm GPU‑friendly and suitable for integration into complex learning tasks like time‑series averaging, classification, and deep domain adaptation.
arXiv:2606. 23472v2 Announce Type: replace-cross Abstract: Time series classification involves learning a mapping from a continuous, temporally ordered sequence of real-valued observations to discrete response variables, like class labels.
The paper introduces TimeFT, a new tokenizer for time series that operates in the frequency domain to avoid spectral distortions caused by traditional subsequence partitioning. It uses frequency-domain partitioning, frequency shifting, and Nyquist sampling, is parameter‑free, and adds negligible computational overhead. Experiments across forecasting, classification, and anomaly detection show consistent and significant performance gains over existing tokenizers.
WinoTS introduces a wavelet‑based self‑distillation framework for time‑series models that uses time‑frequency augmentations to create multi‑scale structural views, avoiding distortion of signal dynamics. The method outperforms state‑of‑the‑art baselines in long‑term forecasting, cross‑domain zero‑shot transfer, and unsupervised anomaly detection, and linear probing on frozen representations often beats fully supervised training from scratch. Ablation studies show WinoTS is architecture‑agnostic and demonstrates that time‑frequency transformations offer a principled alternative to vision‑style spatial augmentations.
The paper introduces a spectrally-aligned latent-flow model for time‑series generation that trains the latent space to preserve dynamical properties relevant to synthetic data quality. By incorporating fine‑tuning losses based on Fourier, wavelet, and signature transforms, the method mitigates spectral mismatches caused by latent compression and ensures alignment with true signals in terms of smoothness and targeted spectral content. Experiments on real‑world long‑range univariate and multivariate benchmarks show that the aligned model outperforms a base latent‑flow model and state‑of‑the‑art approaches in signal realism, computational efficiency, and local structure alignment.